# Grade 5 Curriculum

Below are skills needed, with links to resources to help with that skill. We also encourage plenty of exercises and book work. Curriculum Home

*Important: this is a guide only.Check with your local education authority to find out their requirements.*

Grade 5 | Multiplication

☐ Use a variety of strategies to multiply three-digit by three-digit numbers Note: Multiplication by anything greater than a three-digit multiplier/ multiplicand should be done using technology.

☐ Understand how to multiply by negative numbers

☐ Develop fluency with multiplication facts up to 12x

Grade 5 | Division

☐ Use a variety of strategies to divide three-digit or four-digit numbers by one-digit or two-digit numbers Note: Division by anything greater than a two-digit divisor should be done using technology.

☐ Division

☐ Easily test if one number can be evenly divided by another by using divisibility rules.

Grade 5 | Numbers

☐ Read and write whole numbers to millions

☐ Recognize that some numbers are only divisible by one and themselves (prime) and others have multiple divisors (composite)

☐ Calculate multiples of a whole number and the least common multiple of two numbers

☐ Identify the factors of a given number

☐ Find the common factors and the greatest common factor of two numbers

☐ Evaluate an arithmetic expression using order of operations including multiplication, division, addition, subtraction and parentheses

☐ Compare and order numbers to millions

☐ Round numbers to the nearest hundredth and up to the nearest 10,000

☐ Decimals

☐ Understand the place value structure of the base ten number system:
* 10 ones = 1 ten
* 10 tens = 1 hundred
* 10 hundreds = 1 thousand
* 10 thousands = 1 ten thousand
* 10 ten thousands = 1 hundred thousand
* 10 hundred thousands = 1 million

☐ Understand the difference between a factor and a multiple of an integer.

Grade 5 | Decimals

☐ Compare decimals using <, >, or =

☐ Decimals

☐ Use a variety of strategies to add, subtract, multiply, and divide decimals to thousandths

☐ Read, write, and order decimals to thousandths

☐ Decimals

☐ Convert percents to decimals

Grade 5 | Fractions

☐ Simplify fractions to lowest terms

☐ Convert improper fractions to mixed numbers, and mixed numbers to improper fractions

☐ Use a variety of strategies to add and subtract fractions with like denominators

☐ Add and subtract mixed numbers with like denominators

☐ Estimate sums and differences of fractions with unlike denominators.

☐ Create equivalent fractions, given a fraction

☐ Compare and order fractions including unlike denominators (with and without the use of a number line) Note: Commonly used fractions such as those that might be indicated on ruler, measuring cup, etc.

☐ Compare fractions using <, >, or =

☐ Add, subtract, multiply and divide fractions (including mixed fractions) whose denominators are powers of ten - decimal fractions.

☐ Divide a fraction by a whole number

☐ Multiply a fraction by a whole number

☐ Express decimals as an equivalent form of fractions with denominators that are powers of 10, and simplify to lowest terms.

☐ Decimals

☐ Convert percents to fractions

Grade 5 | Percentages

☐ Understand that percent means part of 100

☐ Convert fractions or decimals to percents

Grade 5 | Ratios

☐ Understand the concept of ratio

☐ Ratios

☐ Express ratios in different forms

☐ Ratios

Grade 5 | Measurement

☐ Use a ruler to measure to the nearest centimeter or millimeter

☐ Determine personal references for metric units of length

☐ Identify customary equivalent units of length (metric)

☐ Convert lengths within the metric system

☐ Determine the tools and techniques required to measure with an appropriate level of precision: lengths and angles

☐ Measure and draw angles using a protractor

☐ Understand Temperature

☐ Understand the Celsius and Fahrenheit temperature scales, including the freezing and boiling points of water on the two scales

☐ Use a ruler to measure to the nearest inch, 1/2, 1/4 or 1/8 inch

☐ Determine personal references for US standard units of length

☐ Identify customary equivalent units of length (US)

☐ Convert lengths within the US system

Grade 5 | Time

☐ Calculate elapsed time in hours and minutes

☐ Midnight

☐ Convert times in minutes and seconds to seconds, or hours and minutes to minutes

Grade 5 | Geometry (Plane)

☐ Evaluate the perimeter formula for given input values

☐ Calculate the perimeter of regular and irregular polygons

☐ Polygons

☐ Identify corresponding parts of congruent triangles

☐ Identify and draw lines of symmetry of basic geometric shapes

☐ Plot points to form basic geometric shapes (identify and classify)

☐ Point

☐ Calculate perimeter of basic geometric shapes drawn on a coordinate plane (rectangles and shapes composed of rectangles having sides with integer lengths and parallel to the axes)

☐ Identify pairs of similar triangles, or other geometrical shapes

☐ Similar

☐ Identify the ratio of corresponding sides of similar triangles

☐ Classify quadrilaterals by properties of their angles and sides

☐ Know that the sum of the interior angles of a quadrilateral is 360 degrees

☐ Classify triangles by properties of their angles and sides

☐ Know that the sum of the interior angles of a triangle is 180 degrees

☐ Find a missing angle when given two angles of a triangle

☐ Identify pairs of congruent triangles, or other geometrical shapes

☐ Know that a right angle is 90 degrees, a straight angle is 180 degrees and a full circle is 360 degrees.

☐ Understand what is meant by the order of rotational symmetry of a plane shape, and know how to find its value.

☐ Understand what is meant by regular and irregular polygons; convex and concave polygons; and complex polygons.

☐ Polygons

☐ Understand what is meant by point symmetry

☐ Understand what is meant by the vertex of an angle and adjacent angles

Grade 5 | Geometry (Solid)

☐ Understand the Platonic Solids

☐ Construct models of polyhedra (including the Platonic solids) from their nets.

☐ Pyramids

☐ Understand polyhedrons and classify them as Platonic solids, prisms, pyramids etc

☐ Pyramids

Grade 5 | Algebra

☐ Define and use appropriate terminology when referring to constants, variables, operators, coefficients and algebraic expressions

☐ Translate simple verbal expressions into algebraic expressions

☐ Substitute assigned values into variable expressions and evaluate using order of operations

☐ Solve simple one-step equations using basic whole-number facts

☐ Solve and explain simple one-step equations using inverse operations involving whole numbers

☐ Inverse

☐ Create and explain patterns and algebraic relationships (example: 2,4,6,8... is algebraically 2n (doubling))

☐ Create algebraic or geometric patterns using concrete objects or visual drawings (e.g., rotate and shade geometric shapes)

☐ Patterns

☐ Know the difference between a closed sentence and an open sentence.

Grade 5 | Coordinates

☐ Identify and plot points in the first quadrant

☐ Point

Grade 5 | Logic

☐ Use logical reasoning to solve problems involving various skills

Grade 5 | Data

☐ Collect and record data from a variety of sources (e.g., newspapers, magazines, polls, charts, and surveys)

☐ Display data in a line graph to show an increase or decrease over time

☐ Calculate the mean for a given set of data and use to describe a set of data

☐ Formulate conclusions and make predictions from graphs

Grade 5 | Estimation

☐ Justify the reasonableness of estimates

☐ Estimate sums, differences, products, and quotients of decimals

☐ Justify the reasonableness of answers using estimation

Grade 5 | Probability

☐ List the possible outcomes for a single-event experiment

☐ Record experiment results using fractions/ratios

☐ Ratios

☐ Create a sample space and determine the probability of a single event, given a simple experiment (e.g., rolling a number cube)

☐ Locate probabilities on a probability number line, and know the meaning of the probabilities 0, 1/2 and 1.